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114352260 = 223511219829
BaseRepresentation
bin1101101000011…
…10000010000100
321222011200210220
412310032002010
5213233233020
615202544340
72555656341
oct664160204
9258150726
10114352260
1159604600
12323680b0
131a8ca379
14112897c8
15a08c240
hex6d0e084

114352260 has 144 divisors (see below), whose sum is σ = 370910400. Its totient is φ = 26231040.

The previous prime is 114352253. The next prime is 114352261. The reversal of 114352260 is 62253411.

It is a self number, because there is not a number n which added to its sum of digits gives 114352260.

It is not an unprimeable number, because it can be changed into a prime (114352261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137526 + ... + 138354.

Almost surely, 2114352260 is an apocalyptic number.

114352260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114352260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185455200).

114352260 is an abundant number, since it is smaller than the sum of its proper divisors (256558140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114352260 is a wasteful number, since it uses less digits than its factorization.

114352260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 114352260 is about 10693.5616143547. The cubic root of 114352260 is about 485.3796722366.

It can be divided in two parts, 11435 and 2260, that added together give a triangular number (13695 = T165).

The spelling of 114352260 in words is "one hundred fourteen million, three hundred fifty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 121 132 165 190 209 220 228 242 285 330 363 380 418 484 570 605 627 660 726 829 836 1045 1140 1210 1254 1452 1658 1815 2090 2299 2420 2487 2508 3135 3316 3630 4145 4180 4598 4974 6270 6897 7260 8290 9119 9196 9948 11495 12435 12540 13794 15751 16580 18238 22990 24870 27357 27588 31502 34485 36476 45595 45980 47253 49740 54714 63004 68970 78755 91190 94506 100309 109428 136785 137940 157510 173261 182380 189012 200618 236265 273570 300927 315020 346522 401236 472530 501545 519783 547140 601854 693044 866305 945060 1003090 1039566 1203708 1504635 1732610 1905871 2006180 2079132 2598915 3009270 3465220 3811742 5197830 5717613 6018540 7623484 9529355 10395660 11435226 19058710 22870452 28588065 38117420 57176130 114352260